NEET Sample Paper NEET Sample Test Paper-91

  • question_answer
    The velocity of water in a river is 18 km/h near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The co-efficient of viscosity of water\[={{10}^{-2}}paise\]

    A) \[{{10}^{-1}}N/{{m}^{2}}\]

    B)                    \[{{10}^{-2}}N/{{m}^{2}}\]

    C) \[{{10}^{-3}}N/{{m}^{2}}\]  

    D)        \[{{10}^{-4}}N/{{m}^{2}}\]

    Correct Answer: B

    Solution :

    [b] \[\eta ={{10}^{-2}}poise\] \[v=18\,km/hr=\frac{18000}{3600}=5\,m/s\] \[l=5\,m\] Strain rate \[=\frac{v}{l}\] Coefficient of viscosity, \[\eta =\frac{\text{shearing stress}}{\text{Strain rate}}\] \[\therefore \]Shearing stress\[=\eta \times \text{strain rate}\] \[={{10}^{-2}}\times \frac{5}{5}={{10}^{-2}}N{{m}^{-2}}\]


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